Times Tables and Their Division: a week of ready-to-teach maths
Five days of lessons for Year 3 Algebra. Print this pack and the week is prepared: each day has a one-page plan and a student worksheet, plus times-table cards, division cards, a mini-check and every answer.
Start here: five minutes to Monday
- Skim the week at a glance on the next page.
- Print the five days. Each day is two A4 sheets: a plan and a worksheet.
- Cut out the times-table cards and the division cards once; they are reused all week.
- Open the free interactive unit on your board. Every plan tells you which picture to show and which buttons to press.
- Teach straight from the plan. Timings, talk prompts, misconceptions and answers are all on the one page.
No maths background needed
This pack is written for the busy generalist teacher. Year 3 learns the 3, 4, 5 and 10 times tables. Each table is a skip count of equal groups, and facts that do not come at once can be worked out from facts that do (4 × 7 is double 2 × 7). Every times fact also gives two division facts, because division is multiplication run backwards.
One day, one lesson
The five lessons fill a week of maths, one lesson of about 50 minutes a day. Run them in order: each day stands on the one before. Every plan marks a split point if your timetable runs two shorter sessions.
The week at a glance
One lesson a day for a week. Each day stands on the day before, so run them in order.
| Day | Lesson | Children learn and do | On screen |
|---|---|---|---|
| 1 | Skip count the tables | Build the 3, 4, 5 and 10 tables by skip counting equal groups, and spot their patterns | Skip count the table |
| 2 | Recall a fact | Recall facts quickly, and work out a missing one from a fact you know (double, half, one more group) | Recall a fact |
| 3 | Ten is a shift | Multiply by ten and explain the shift, then halve a ten fact to find a five fact | Ten is a shift |
| 4 | Flip to divide | Turn a times fact into its two divisions, and divide by finding the times fact that makes the total | Flip to divide; Division by a known fact |
| 5 | The array holds four facts | Read an array as two multiplications and two divisions, and use fact families in stories | The array holds four facts |
How the week builds
Days 1 to 3 build the four tables: skip counting first, then recall with helper facts, then the shift that makes the 10s (and the halving that makes the 5s). Day 4 flips every fact into division, and Day 5 shows a whole fact family in one array. It leans on Multiply and Divide (AC9M3N04) and Addition and Subtraction Undo Each Other (AC9M3A01).
Materials for the week (one trip)
- From the classroom: scissors, pencils, mini whiteboards or scrap paper, this pack printed.
- Counters or cubes, and base-ten blocks for Day 3.
- An egg carton or a muffin tray for Day 5, to show an array.
- Cut out once, use all week: the times-table cards and the division cards in this pack.
Words for the word wall
times, multiply, skip count, equal groups, table, fact, double, half, place, shift, divide, share, group, array, row, column, fact family
Dear families
This week in maths, Year 3 is learning the 3, 4, 5 and 10 times tables, and how each times fact also gives a division fact.
Try this at home
- Skip count together in the car or on a walk: in 3s, 4s, 5s or 10s, as far as you can go.
- Ask one fact a day, then its flip: 4 × 6 = 24, so what is 24 ÷ 4?
- Use helper facts: if 2 × 8 = 16, how does that help with 4 × 8?
- Look for arrays at home: egg cartons, muffin trays, window panes. What facts do they show?
Our facts this week
Fill one row a day: a times fact, and the division it gives.
| Day | Times fact | Division it gives |
|---|---|---|
| Monday | ||
| Tuesday | ||
| Wednesday | ||
| Thursday | ||
| Friday |
Printed from the free seegongsik Times Tables and Their Division teaching pack · seegongsik.com/au/y3/algebra/AC9M3A03/pack
Skip count the tables
Each times table is a skip count of equal groups: count in 3s and you build the 3 times table, 3, 6, 9, 12. Year 3 learns the 3, 4, 5 and 10 tables, and each one has a pattern that helps children remember it.
We are learning to
- skip count in 3s, 4s, 5s and 10s,
- connect a skip count to equal groups (4 groups of 3 is 12, written 4 × 3 = 12),
- notice patterns in the tables (the 5s end in 5 or 0; the 4s are double the 2s).
Success criteria
- I can skip count in 3s, 4s, 5s and 10s.
- I can say a times fact from a skip count.
You need
Counters or cubes, a handful per pair. The worksheet, one per child.
Lesson flow (about 50 minutes)
| 10 min | Count and clap Count in 3s together, clapping on each number, then in 4s. Stop after five claps each time. Ask: “Five claps counting in 3s reached 15. Which times fact is that?” |
| 30 min | Build the tables Build tables on the board (see the box). Children finish the four skip-count strips, then read facts from them and look for patterns. Ask: “Look at the 4s: 4, 8, 12, 16. How are they like the 2s?” |
| 10 min | Table race Pairs say one table aloud together to 10 groups while another pair checks it with counters. Ask: “Which table was easiest to say? Why?” |
Two half-sessions instead? Split after the 3s and 4s strips; start Session B with the 5s and 10s.
Watch for these ideas
- Counting in ones between the multiples and losing the count. Say only the skip numbers.
- Skipping or slipping a number (3, 6, 9, 13). Each step adds the same amount.
- Thinking 4 × 3 and 3 × 4 have different totals. The groups change; the total does not.
Answers
- Strips: 3s: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30; 4s: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40; 5s: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50; 10s: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
- Facts: 6 × 3 = 18; 7 × 4 = 28; 9 × 5 = 45; 8 × 10 = 80; 4 × 3 = 12 and 3 × 4 = 12.
- Patterns: the 5s end in 5, 0, 5, 0; the 10s all end in 0; the 4s are the 2s doubled.
Skip count the tables
Finish each skip count
Read a fact from your skip count
6 groups of 3 = ______, so 6 × 3 = ______
7 groups of 4 = ______, so 7 × 4 = ______
9 groups of 5 = ______, so 9 × 5 = ______
8 groups of 10 = ______, so 8 × 10 = ______
4 groups of 3 = ______ and 3 groups of 4 = ______
Patterns
What do you notice about the last digits in the 5s? In the 10s?
Recall a fact
Fluency means knowing a fact quickly, and having a way to work it out when it does not come. 4 × 7 is double 2 × 7 (double 14 is 28); 5 × 8 is half of 10 × 8 (half of 80 is 40); 3 × 9 is 2 × 9 and one more 9 (18 + 9 = 27).
We are learning to
- recall facts from the 3, 4, 5 and 10 tables,
- work out a fact we do not know from one we do (double, half, one more group),
- check a recalled fact by skip counting.
Success criteria
- I can recall facts in the 3, 4, 5 and 10 tables.
- I can work out a fact from one I know.
You need
The times-table cards (cut-out sheet 1), one set per pair. The worksheet, one per child.
Lesson flow (about 50 minutes)
| 10 min | Quick fire Flash times-table cards; the class writes answers on whiteboards. Pairs sort their cards into “know it” and “working on it”. Ask: “Which facts came straight away? Which did you have to work out?” |
| 30 min | Facts from facts Recall facts on the board (see the box). Children use the three helper moves on the worksheet, then do the quick-recall grid. Ask: “You know 2 × 7 = 14. How does that give you 4 × 7?” |
| 10 min | Card pairs Pairs quiz each other with the “working on it” pile, saying the helper fact aloud. Ask: “Which helper fact did you use? Did it work every time?” |
Two half-sessions instead? Split after the helper moves; start Session B with the quick-recall grid.
Watch for these ideas
- Adding instead of multiplying (4 × 7 = 11). It is four groups of 7.
- Doubling only once for the 4s (4 × 7 = 14). Four is double double: 14, then 28.
- Writing 10 × 6 as 16 or 600. Ten groups of 6 is 60.
Answers
- Double double: 4 × 3 = double 6 = 12; 4 × 6 = double 12 = 24; 4 × 8 = double 16 = 32; 4 × 9 = double 18 = 36.
- Half of ten: 5 × 6 = half of 60 = 30; 5 × 7 = half of 70 = 35; 5 × 9 = half of 90 = 45; 5 × 4 = half of 40 = 20.
- One more group: 3 × 6 = 12 + 6 = 18; 3 × 7 = 14 + 7 = 21; 3 × 8 = 16 + 8 = 24; 3 × 5 = 10 + 5 = 15.
- Quick recall: 12, 25, 70, 20, 30, 15, 16, 90, 9, 50, 40, 6.
Recall a fact
Double double (the 4s)
Example: 4 × 7 = double 2 × 7 = double 14 = 28.
4 × 3 = double ______ = ______
4 × 6 = double ______ = ______
4 × 8 = double ______ = ______
4 × 9 = double ______ = ______
Half of ten (the 5s)
Example: 5 × 8 = half of 10 × 8 = half of 80 = 40.
5 × 6 = half of ______ = ______
5 × 7 = half of ______ = ______
5 × 9 = half of ______ = ______
5 × 4 = half of ______ = ______
One more group (the 3s)
Example: 3 × 9 = 2 × 9 + 9 = 18 + 9 = 27.
3 × 6 = ______ + ______ = ______
3 × 7 = ______ + ______ = ______
3 × 8 = ______ + ______ = ______
3 × 5 = ______ + ______ = ______
Quick recall
| 3 × 4 = ______ | 5 × 5 = ______ | 10 × 7 = ______ | 4 × 5 = ______ |
| 3 × 10 = ______ | 5 × 3 = ______ | 4 × 4 = ______ | 10 × 9 = ______ |
| 3 × 3 = ______ | 5 × 10 = ______ | 4 × 10 = ______ | 3 × 2 = ______ |
Ten is a shift
Multiplying by ten moves each digit up one place, and a zero holds the ones: 7 × 10 = 70. The tens make the fives easy too, because 5 is half of 10: 5 × 7 is half of 10 × 7, so half of 70 is 35.
We are learning to
- multiply a one-digit number by ten and explain the shift,
- use a 10s fact to find a 5s fact by halving,
- see the 10 and 5 patterns (the 10s end in 0; the 5s end in 5 or 0).
Success criteria
- I can multiply by ten and say why a zero appears.
- I can find a 5s fact from a 10s fact.
You need
A tens and ones chart for the board. Counters and base-ten blocks. The worksheet, one per child.
Lesson flow (about 50 minutes)
| 10 min | Ten groups Make 10 groups of 3 counters, then swap them for 3 tens rods. Write 30 on the tens and ones chart. Ask: “Where did the 3 go when we made ten groups? What sits in the ones?” |
| 30 min | Shift it Shift numbers on the board (see the box). Children fill the worksheet chart, halve ten facts, then hunt for the 5s and 10s. Ask: “Is ‘add a zero’ the real reason? What happens to the 3?” |
| 10 min | Half of ten Call a 10s fact (10 × 8 = 80); the class calls the 5s fact (5 × 8 = 40). Ask: “Why is 5 × 8 exactly half of 10 × 8?” |
Two half-sessions instead? Split after the tens and ones chart; start Session B with Half of ten.
Watch for these ideas
- Giving “add a zero” as the reason. The digit moves up a place; a zero holds the ones.
- Writing 10 × 6 as 16 (adding 10 and 6). Ten groups of 6 is 60.
- Halving the wrong number for the 5s (5 × 8 as half of 8). Halve the ten fact: half of 80.
Answers
- Shift: 4 × 10 = 40 (4 tens, 0 ones); 8 × 10 = 80 (8 tens, 0 ones); 2 × 10 = 20 (2 tens, 0 ones); 5 × 10 = 50 (5 tens, 0 ones); 9 × 10 = 90 (9 tens, 0 ones).
- Half of ten: 10 × 6 = 60, so 5 × 6 = 30; 10 × 4 = 40, so 5 × 4 = 20; 10 × 9 = 90, so 5 × 9 = 45; 10 × 7 = 70, so 5 × 7 = 35.
- In the 5s: 15, 30, 45, 50, 60. Also in the 10s: 30, 50, 60.
Ten is a shift
Times ten on the chart
Example: 7 × 10 = 70. The 7 moves into the tens; a 0 holds the ones.
| Multiply | Tens | Ones | Answer |
|---|---|---|---|
| 4 × 10 | |||
| 8 × 10 | |||
| 2 × 10 | |||
| 5 × 10 | |||
| 9 × 10 |
Half of ten
10 × 6 = ______, so 5 × 6 = ______
10 × 4 = ______, so 5 × 4 = ______
10 × 9 = ______, so 5 × 9 = ______
10 × 7 = ______, so 5 × 7 = ______
Fives and tens
Circle the numbers in the 5 times table. Put a box around the ones that are also in the 10 times table.
Flip to divide
Every times fact hands you two division facts: 4 × 7 = 28 gives 28 ÷ 4 = 7 and 28 ÷ 7 = 4. To divide, ask a times question: 20 ÷ 5 means 5 times what makes 20? 5 × 4 = 20, so the answer is 4.
We are learning to
- turn a times fact into its two division facts,
- solve a division by finding the times fact that makes the total,
- divide by sharing and by grouping, and say which one a story needs.
Success criteria
- I can write two divisions from a times fact.
- I can use a times fact to divide.
You need
The times-table cards and the division cards (cut-out sheets 1 and 2), one set per pair. Counters. The worksheet.
Lesson flow (about 50 minutes)
| 10 min | Share and check Share 24 counters equally among 4 children. Then ask: 4 times what makes 24? Ask: “Did sharing give the same answer as the times fact? Why?” |
| 30 min | Flip and find Flip facts and find divisions on the board (see the box). Children flip the worksheet facts, divide with a times fact, then solve the two stories. Ask: “To work out 35 ÷ 5, which times fact do you need?” |
| 10 min | Match the cards Pairs match each times-table card with the division card from the same fact family. Ask: “How did you know 3 × 8 and 24 ÷ 3 belong together?” |
Two half-sessions instead? Split after Flip to divide; start Session B with Division by a known fact.
Watch for these ideas
- Dividing the smaller number by the bigger (5 ÷ 20). The total comes first.
- Choosing an adding fact (5 + 4 = 9) to divide. Ask: 5 times what makes 20?
- Thinking division is a new set of facts to learn. Each division is a times fact flipped.
Answers
- Flips: 18 ÷ 3 = 6 and 18 ÷ 6 = 3; 20 ÷ 4 = 5 and 20 ÷ 5 = 4; 45 ÷ 5 = 9 and 45 ÷ 9 = 5; 70 ÷ 10 = 7 and 70 ÷ 7 = 10; 32 ÷ 4 = 8 and 32 ÷ 8 = 4.
- Divide: 15 ÷ 3 = 5 (3 × 5 = 15); 36 ÷ 4 = 9 (4 × 9 = 36); 25 ÷ 5 = 5 (5 × 5 = 25); 60 ÷ 10 = 6 (10 × 6 = 60); 27 ÷ 3 = 9 (3 × 9 = 27); 40 ÷ 4 = 10 (4 × 10 = 40).
- Stories: 28 ÷ 4 = 7 bags (grouping); 35 ÷ 5 = 7 stickers each (sharing).
Flip to divide
Flip it
Example: 4 × 7 = 28, so 28 ÷ 4 = 7 and 28 ÷ 7 = 4.
3 × 6 = 18, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______
4 × 5 = 20, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______
5 × 9 = 45, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______
10 × 7 = 70, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______
4 × 8 = 32, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______
Divide with a times fact
15 ÷ 3 = ____ because 3 × ____ = 15
36 ÷ 4 = ____ because 4 × ____ = 36
25 ÷ 5 = ____ because 5 × ____ = 25
60 ÷ 10 = ____ because 10 × ____ = 60
27 ÷ 3 = ____ because 3 × ____ = 27
40 ÷ 4 = ____ because 4 × ____ = 40
Stories
1. 28 apples are packed in bags of 4. How many bags? Number sentence: ______________
2. 35 stickers are shared equally among 5 friends. How many does each friend get? Number sentence: ______________
The array holds four facts
An array shows a whole fact family at once: 3 rows of 5 is 3 × 5 = 15, the columns give 5 × 3 = 15, and the same dots split into rows or columns give 15 ÷ 3 = 5 and 15 ÷ 5 = 3.
We are learning to
- read an array as two multiplications and two divisions,
- write the fact family for an array,
- use a fact family to solve story problems.
Success criteria
- I can write the four facts an array shows.
- I can use a fact family to solve a story.
You need
An egg carton or a muffin tray, and counters. The worksheet, one per child. The unit’s self-check quiz.
Lesson flow (about 50 minutes)
| 10 min | Egg carton Hold up a carton with 2 rows of 6 eggs (or counters). Ask for every fact it shows. Ask: “Which fact do you see in the rows? Which one in the columns?” |
| 25 min | Four facts Reveal the divisions on the board (see the box). Children write the four facts for each worksheet array, then solve the three stories. Ask: “This array has 4 rows. Which division uses the 4?” |
| 15 min | Class quiz Run the self-check quiz as a team game: teams hold up one, two or three fingers for their choice. Ask: “Which picture from this week would prove that answer?” |
Two half-sessions instead? Split after the arrays; start Session B with the stories and the quiz.
Watch for these ideas
- Writing only the multiplications. Every array also holds two divisions.
- Reading 3 rows of 5 as 3 × 3. Count the dots in one row for the second number.
- Mixing numbers from two families (15 ÷ 3 = 4). Use only the array’s three numbers.
Answers
- 4 × 3 = 12, 3 × 4 = 12, 12 ÷ 4 = 3, 12 ÷ 3 = 4.
- 5 × 6 = 30, 6 × 5 = 30, 30 ÷ 5 = 6, 30 ÷ 6 = 5.
- 3 × 7 = 21, 7 × 3 = 21, 21 ÷ 3 = 7, 21 ÷ 7 = 3.
- 10 × 4 = 40, 4 × 10 = 40, 40 ÷ 10 = 4, 40 ÷ 4 = 10.
- Stories: 4 × 8 = 32 chairs; 24 ÷ 3 = 8 pencils for each table; 30 ÷ 5 = 6 rows.
The array holds four facts
Write the two multiplications and the two divisions each array shows.
____ ÷ ____ = ____ ____ ÷ ____ = ____
____ ÷ ____ = ____ ____ ÷ ____ = ____
____ ÷ ____ = ____ ____ ÷ ____ = ____
____ ÷ ____ = ____ ____ ÷ ____ = ____
Stories
1. There are 4 rows of chairs with 8 chairs in each row. How many chairs? ______________
2. 24 pencils are shared equally among 3 tables. How many for each table? ______________
3. 30 children stand in rows of 5. How many rows? ______________
Times-table cards
Cut out the twenty cards: five facts from each of the 3, 4, 5 and 10 tables. On Day 2, flash them for quick fire and sort them into “know it” and “working on it”.
Teacher note, the answers: 3 × 4 = 12, 3 × 6 = 18, 3 × 7 = 21, 3 × 8 = 24, 3 × 9 = 27, 4 × 3 = 12, 4 × 6 = 24, 4 × 7 = 28, 4 × 8 = 32, 4 × 9 = 36, 5 × 4 = 20, 5 × 6 = 30, 5 × 7 = 35, 5 × 8 = 40, 5 × 9 = 45, 10 × 3 = 30, 10 × 6 = 60, 10 × 7 = 70, 10 × 8 = 80, 10 × 9 = 90.
Division cards
Cut out the twenty cards. On Day 4, pairs lay out the times-table cards and place beside each one the division card from the same fact family, then say both facts aloud.
Teacher note, the matches: 3 × 4 with 12 ÷ 3 = 4, 3 × 6 with 18 ÷ 3 = 6, 3 × 7 with 21 ÷ 3 = 7, 3 × 8 with 24 ÷ 3 = 8, 3 × 9 with 27 ÷ 3 = 9, 4 × 3 with 12 ÷ 4 = 3, 4 × 6 with 24 ÷ 4 = 6, 4 × 7 with 28 ÷ 4 = 7, 4 × 8 with 32 ÷ 4 = 8, 4 × 9 with 36 ÷ 4 = 9, 5 × 4 with 20 ÷ 5 = 4, 5 × 6 with 30 ÷ 5 = 6, 5 × 7 with 35 ÷ 5 = 7, 5 × 8 with 40 ÷ 5 = 8, 5 × 9 with 45 ÷ 5 = 9, 10 × 3 with 30 ÷ 10 = 3, 10 × 6 with 60 ÷ 10 = 6, 10 × 7 with 70 ÷ 10 = 7, 10 × 8 with 80 ÷ 10 = 8, 10 × 9 with 90 ÷ 10 = 9.
What we know: Times Tables and Their Division
Work on your own.
- Skip count in 4s from 4 to 40: ______________________________________________
- 3 × 8 = ______ 5 × 7 = ______ 10 × 9 = ______ 4 × 9 = ______
- You know 2 × 8 = 16. How does it help with 4 × 8? ______________ 4 × 8 = ______
- 6 × 10 = ______. What happened to the 6? ______________________________
- 10 × 7 = 70, so 5 × 7 = ______
- Write two divisions from 4 × 7 = 28: ______________ ______________
- 40 ÷ 5 = ______. Which times fact did you use? ______________
- Write the four facts this array shows: ______________________________________________
Answers and marking guide
Answers
- 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
- 24; 35; 90; 36.
- Double it: double 16 is 32, so 4 × 8 = 32.
- 60. The 6 moved up into the tens place and a 0 holds the ones.
- 35 (half of 70).
- 28 ÷ 4 = 7 and 28 ÷ 7 = 4.
- 8, because 5 × 8 = 40.
- 3 × 6 = 18, 6 × 3 = 18, 18 ÷ 3 = 6, 18 ÷ 6 = 3.
A quick three-level guide
| Idea | Working towards | At standard | Beyond |
|---|---|---|---|
| Skip counting and recall (Q1, Q2) | counts in ones between the multiples | skip counts in 3s, 4s, 5s and 10s and recalls most facts | recalls all four tables quickly and explains a pattern in them |
| Facts from facts (Q3, Q4, Q5) | adds the two numbers instead of multiplying | doubles for the 4s, halves the ten fact for the 5s, and explains the shift for the 10s | chooses a helper fact for any table |
| Division (Q6, Q7, Q8) | divides the smaller number by the bigger | writes the divisions for a times fact and divides with a known fact | writes a fact family from an array and uses it in a story |
Eight questions, three ideas. A child at standard recalls most facts in the four tables, works out the rest from a helper fact, and flips a fact into its divisions.
Weekly class record
Jot a tick as you move around the room; the mini-check fills any gaps. A tick a day is plenty.
| Name | Skip counts | Recalls facts | Times ten | Divides | Fact families |
|---|---|---|---|---|---|
The five columns are the five days: skip counting, recalling facts, multiplying by ten, dividing, and fact families from arrays.